Details

Time bar (total: 8.0s)

sample450.0ms

Algorithm
intervals
Results
359.0ms61×body2560valid
53.0ms83×body1280valid
17.0ms61×body640valid
5.0ms25×body320valid
2.0ms17×body160valid
1.0ms9×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1175
2195
3195

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.9b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x (sin x)) (- x (tan x)))
1.5b
(- x (sin x))
1.5b
(- x (tan x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt *-un-lft-identity
25×times-frac
15×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
7×add-log-exp
5×add-exp-log associate-/r* add-cbrt-cube associate-/l*
4×flip3-- flip--
3×pow1
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 80
Calls
3 calls:
8.0ms
(/ (- x (sin x)) (- x (tan x)))
3.0ms
(- x (sin x))
6.0ms
(- x (tan x))

series39.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (- x (sin x)) (- x (tan x)))
5.0ms
(- x (sin x))
20.0ms
(- x (tan x))

simplify160.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0363718
11148684
24781684
35001684

prune88.0ms

Filtered
63 candidates to 89 candidates (-41.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86389
Fresh000
Picked101
Done000
Total87390

Merged error: 0b

Counts
90 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 27/2800 (pow x 4))
0.1b
(* 9/40 (pow x 2))
14.8b
(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
9×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-log-exp
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
4×sqr-pow
3×pow1
2×pow-to-exp diff-log pow-exp *-commutative cbrt-unprod unpow2
1×sub-neg flip3-- sum-log flip-- associate--r+
Counts
3 → 66
Calls
3 calls:
5.0ms
(* 27/2800 (pow x 4))
5.0ms
(* 9/40 (pow x 2))
7.0ms
(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

series15.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* 27/2800 (pow x 4))
3.0ms
(* 9/40 (pow x 2))
5.0ms
(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

simplify41.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0273349
11123316
25001313

prune104.0ms

Filtered
46 candidates to 75 candidates (-63.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh022
Picked011
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sin x) (- x (tan x)))
1.5b
(- x (tan x))
1.5b
(- x (tan x))
1.5b
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
44×add-sqr-sqrt
33×times-frac
18×distribute-lft-out--
16×add-cube-cbrt
12×difference-of-squares
10×add-log-exp
6×add-exp-log flip3-- associate-/r/ add-cbrt-cube flip--
5×associate-/r*
4×pow1
3×sub-neg distribute-rgt-out-- diff-log div-inv associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
Counts
4 → 94
Calls
4 calls:
6.0ms
(/ (sin x) (- x (tan x)))
3.0ms
(- x (tan x))
3.0ms
(- x (tan x))
28.0ms
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (sin x) (- x (tan x)))
10.0ms
(- x (tan x))
13.0ms
(- x (tan x))
31.0ms
(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))

simplify40.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0376909
11205870
25001870

prune89.0ms

Filtered
80 candidates to 106 candidates (-32.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done011
Total1063109

Merged error: 0b

Counts
109 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (- x (sin x)) 3)
1.5b
(- x (sin x))
1.5b
(- x (tan x))
19.6b
(cbrt (pow (- x (sin x)) 3))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
16×cbrt-prod
10×add-cube-cbrt unpow-prod-down cube-prod
8×add-log-exp
6×distribute-lft-out-- difference-of-squares
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-- flip--
3×pow-unpow
2×cube-mult sub-neg cbrt-div diff-log unpow3 sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 84
Calls
4 calls:
5.0ms
(pow (- x (sin x)) 3)
4.0ms
(- x (sin x))
3.0ms
(- x (tan x))
5.0ms
(cbrt (pow (- x (sin x)) 3))

series29.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(pow (- x (sin x)) 3)
5.0ms
(- x (sin x))
10.0ms
(- x (tan x))
7.0ms
(cbrt (pow (- x (sin x)) 3))

simplify40.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0339488
11169465
25001458

prune93.0ms

Filtered
58 candidates to 96 candidates (-65.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done022
Total96399

Merged error: 0b

Counts
99 → 3

regimes41.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 32.0b

bsearch40.0ms

Steps
ItersRangePoint
10
1.6467731241392944e-08
62869179882.65231
0.020755893751567424
9
-3.3701171682469404
-2.708263725627834e-09
-0.030068738252474084

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13014

end0.0ms

sample6.5s

Algorithm
intervals
Results
3.8s1581×body2560valid
1.7s2793×body1280valid
521.0ms1896×body640valid
158.0ms904×body320valid
59.0ms476×body160valid
27.0ms350×body80valid

Profiling

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